%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL234-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:07:15 PM UTC 2026
% Result : Unsatisfiable 270.98s 34.78s
% Output : CNFRefutation 91.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 37 ( 25 unt; 0 def)
% Number of atoms : 52 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 80 ( 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [A,B] : axiom(implies(or(A,B),or(B,A))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B,C] : axiom(implies(or(A,or(B,C)),or(B,or(A,C)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : implies(X,Y) = or(not(X),Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( ~ axiom(X)
| theorem(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] :
( ~ theorem(Y)
| ~ theorem(implies(Y,X))
| theorem(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [P,Q] : and(P,Q) = not(or(not(P),not(Q))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
~ theorem(implies(p,implies(q,and(p,q)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,plain,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f14,plain,
! [X0,X1,X2] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f15,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f16,plain,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f17,plain,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f18,plain,
! [Y] :
( ~ theorem(Y)
| ! [X] :
( ~ theorem(implies(Y,X))
| theorem(X) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f19,plain,
! [X0,X1] :
( ~ theorem(X1)
| ~ theorem(implies(X1,X0))
| theorem(X0) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f20,plain,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f21,plain,
~ theorem(implies(p,implies(q,and(p,q)))),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f24,plain,
! [X0,X1] : theorem(implies(or(X0,X1),or(X1,X0))),
inference(resolution,[status(thm)],[f13,f17]) ).
fof(f31,plain,
! [X0,X1,X2] : theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(resolution,[status(thm)],[f14,f17]) ).
fof(f44,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(resolution,[status(thm)],[f15,f17]) ).
fof(f56,plain,
! [X0,X1] : and(X0,X1) = not(implies(X0,not(X1))),
inference(forward_demodulation,[status(thm)],[f16,f20]) ).
fof(f62,plain,
! [X0,X1] : theorem(implies(implies(X0,X1),or(X1,not(X0)))),
inference(paramodulation,[status(thm)],[f16,f24]) ).
fof(f127,plain,
! [X0,X1,X2] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[f31,f19]) ).
fof(f240,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,X2))
| theorem(implies(or(X0,X1),or(X0,X2))) ),
inference(resolution,[status(thm)],[f44,f19]) ).
fof(f590,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,or(X0,X2)))
| theorem(or(X0,or(not(X1),X2))) ),
inference(paramodulation,[status(thm)],[f16,f127]) ).
fof(f592,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,or(X0,X2)))
| theorem(or(X0,implies(X1,X2))) ),
inference(forward_demodulation,[status(thm)],[f16,f590]) ).
fof(f1039,plain,
! [X0,X1,X2] : theorem(implies(or(X0,implies(X1,X2)),or(X0,or(X2,not(X1))))),
inference(resolution,[status(thm)],[f240,f62]) ).
fof(f2752,plain,
! [X0,X1] : theorem(or(X0,implies(implies(X1,X0),not(X1)))),
inference(resolution,[status(thm)],[f592,f62]) ).
fof(f2770,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,implies(X0,X2)))
| theorem(or(not(X0),implies(X1,X2))) ),
inference(paramodulation,[status(thm)],[f16,f592]) ).
fof(f2773,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,implies(X0,X2)))
| theorem(implies(X0,implies(X1,X2))) ),
inference(forward_demodulation,[status(thm)],[f16,f2770]) ).
fof(f4342,plain,
! [X0,X1,X2] :
( ~ theorem(or(X0,implies(X2,X1)))
| theorem(or(X0,or(X1,not(X2)))) ),
inference(resolution,[status(thm)],[f1039,f19]) ).
fof(f66250,plain,
! [X0,X1] : theorem(or(X0,or(not(X1),not(implies(X1,X0))))),
inference(resolution,[status(thm)],[f4342,f2752]) ).
fof(f66322,plain,
! [X0,X1] : theorem(or(X0,implies(X1,not(implies(X1,X0))))),
inference(forward_demodulation,[status(thm)],[f16,f66250]) ).
fof(f69873,plain,
! [X0,X1] : theorem(implies(X0,implies(X1,not(implies(X1,not(X0)))))),
inference(paramodulation,[status(thm)],[f16,f66322]) ).
fof(f69895,plain,
! [X0,X1] : theorem(implies(X0,implies(X1,and(X1,X0)))),
inference(forward_demodulation,[status(thm)],[f56,f69873]) ).
fof(f70026,plain,
! [X0,X1] : theorem(implies(X0,implies(X1,and(X0,X1)))),
inference(resolution,[status(thm)],[f69895,f2773]) ).
fof(f70117,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f21,f70026]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL234-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n003.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 00:14:45 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 270.98/34.78 % Refutation found
% 270.98/34.78 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 270.98/34.78 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 17.06/35.03 % Elapsed time: 34.580371 seconds
% 17.06/35.03 % CPU time: 272.707316 seconds
% 17.06/35.03 % Total memory used: 980.751 MB
% 17.06/35.03 % Net memory used: 925.020 MB
%------------------------------------------------------------------------------